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Finding the Fourth Proportional to 1,524.61, 2,103.95 and 861.46

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Solution

The fourth proportional to 1,524.61, 2,103.95 and 861.46 is: 1,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.61 : 2,103.95 = 861.46 : x
  2. Step 2: Convert to fraction form
    1,524.61/2,103.95 = 861.46/x
  3. Step 3: Cross multiply
    1,524.61x = 2,103.95 × 861.46
  4. Step 4: Simplify right side
    1,524.61x = 1,812,465.66
  5. Step 5: Solve for x
    x = 1,812,465.66/1,524.61
  6. Step 6: Final answer
    x = 1,188.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.